On the Cayley graphs of completely simple semigroups |
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| Authors: | Yanfeng Luo Yifei Hao Graham T Clarke |
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| Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,P.R. China;2.School of Mathematical and Geospatial Sciences,RMIT University,Melbourne,Australia |
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| Abstract: | In this paper, the Cayley graphs of completely simple semigroups are investigated. The basic structure and properties of this
kind of Cayley graph are given, and a condition is given for a Cayley graph of a completely simple semigroup to be a disjoint
union of complete graphs. We also describe all pairs (S,A) such that S is a completely simple semigroup, A⊆S, and Cay (S,A) is a strongly connected bipartite Cayley graph. |
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